Informace o publikaci

Quantum mechanics and Talbot revivals on a tetrahedron

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BĚLÍN Jakub HORSLEY Simon TYC Tomáš

Rok publikování 2019
Druh Článek v odborném periodiku
Časopis / Zdroj Physical review A
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace
www https://journals.aps.org/pra/abstract/10.1103/PhysRevA.100.033806
Doi http://dx.doi.org/10.1103/PhysRevA.100.033806
Klíčová slova quantum particle; wavefunction revival; curved surface; Talbot effect; diffraction
Popis We analyze the propagation of waves on the surface of the simplest Platonic solid, the regular tetrahedron. We find that the time evolution of a quantum particle confined to such a surface is equivalent to the diffraction pattern from a certain grating profile and can therefore be investigated in a simple diffraction experiment. The quantum particle exhibits perfect quantum state revivals, which translate into the fractional Talbot effect in the diffraction pattern. We present the results of such an experiment and compare them with numerical simulations.

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